54105577550100 has 108 divisors (see below), whose sum is σ = 169611584163840. Its totient is φ = 14426396577600.

The previous prime is 54105577550081. The next prime is 54105577550119. The reversal of 54105577550100 is 105577550145.

54105577550100 is a `hidden beast` number, since 5 + 4 + 10 + 5 + 5 + 77 + 550 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54105577550081) and next prime (54105577550119).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3739885 + ... + 11054315.

Almost surely, 2^{54105577550100} is an apocalyptic number.

54105577550100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54105577550100 is an abundant number, since it is smaller than the sum of its proper divisors (115506006613740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54105577550100 is a wasteful number, since it uses less digits than its factorization.

54105577550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322670 (or 7322660 counting only the distinct ones).

The product of its (nonzero) digits is 612500, while the sum is 45.

Adding to 54105577550100 its sum of digits (45), we get a palindrome (54105577550145).

The spelling of 54105577550100 in words is "fifty-four trillion, one hundred five billion, five hundred seventy-seven million, five hundred fifty thousand, one hundred".